
with \({x}_0\in [-\frac{1}{2},\frac{1}{2}]^3\)  and \(w_t\in [-\frac{1}{4},0] \times [0,\frac{1}{4}]\) . Figure REF  depicts the approximations of the reachable sets when applying \(T^f_N\) , \(T^f_C\) , \(T^f_M\) , \(T^{f_d}_L\) , \(T^{f_d}_R\) , the best of \(T^f_N\) –\(T^{f_d}_R\)  and \(T^{f_d}_O\) . As expected, the tight \(T^{f_d}_O\) , which is implemented using the corresponding embedding functions given in [1]}, returns the tightest sets/framers. Further, among the other inclusion functions, \(T^{f_d}_R\)  has the the best performance and it  can be slightly improved  by using the best of \(T^f_N\) –\(T^{f_d}_R\) .
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